XXVI Workshop on Geometric Methods in Physics 1-7.07.2007

Mikhail Krivoruchenko

Quantum deformation of the Dirac bracket

We construct quantum deformation of the Dirac bracket for systems which admit global symplectic basis for constraint functions. Equivalently, it can be considered as an extension of the Moyal bracket to second-class constraints systems and to gauge-invariant systems which become second class when gauge-fixing conditions are imposed.